Q1. The height of a right prism with a square base is 15 cm. If the total S.A. of prism of 608cm2. The find its volume (in cm3)
(a) 480
(b) 460
(c) 1500
(d) 960
Q2. The base of a right pyamid is a square of side 16 cm long. If its height be 15 cm, then the area of the lateral surface in square cm is:
(a) 136
(b) 544
(c) 800
(d) 1280
Q3. The base of a right prism is a right angled triangle whose sides are 5 cm, 12 cm and 13 cm. If the total surface area of the prism is 360 cm2, then its height (in cm) is
(a) 10
(b) 12
(c) 9
(d) 11
Q4. If the base of right prism remains same and the lateral edges are halved, then its volume will be reduced by
(a) 33.33%
(b) 50%
(c) 25%
(d) 66%
Q5. A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm, If the altitude of the prism is 9 cm, then its volume is
(a) 1143 cm3
(b) 1314 cm3
(c) 1413 cm3
(d) 1134 cm3
Q6. How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter?
(a) 5324
(b) 2662
(c) 1347
(d) 2541
Q7. When each side of a cube is increased by 2 cm, the volume is increased by 1016 cm3. Find the side of the cube. If each side of it is decreased by 2 cm, by how much will the volume decrease?
(a) 12 cm, 729 cm3
(b) 8 cm, 512 cm3
(c) 9 cm, 729 cm3
(d) 12 cm, 728 cm3
Q8. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volumes is:
(a) 1 : 2 : 3
(b) 2 : 1 : 3
(c) 1 : 3 : 2
(d) 3 : 1 : 2
Q9. A room is 36 m long, 12 m wide and 10 m high. It has 6 window, each 3 m × 2.5 m; one door 9.5 m × 6 m and one fire chimney 4 m × 4.5 m. Find the expenditure of papering its walls at the rate of 70 paise per metre, if the width of the paper is 1.2 m:
(a) Rs. 490
(b) Rs. 690
(c) Rs. 1000
(d) None of these
Q10. The radius and the height of a cone are in the ratio 4 : 3. The ratio of the curved surface area and total surface area of the cone is:
(a) 5 : 9
(b) 3 : 7
(c) 5 : 4
(d) 16 : 9
Q11. A cube of side 8 metre is reduced 3 times in the ratio 2 : 1. The area of one face of the reduced cube to that of the original cube is in the ratio:
(a) 1 : 4
(b) 1 : 8
(c) 1 : 16
(d) 1 : 64
Q12. The base of a right prism is a triangle whose perimeter is 45 cm and the radius of incircle is 9 cm. If the volume of the prism is 810 cm3. Find its height:
(a) 5 cm
(b) 4 cm
(c) 6 cm
(d) 4.5 cm
Solutions
1.D
2.B
3.A
4.B
5.D
6.D
7.D
8.A
9.A
10.A
11.D
12.B
